137412352 has 72 divisors (see below), whose sum is σ = 342018432. Its totient is φ = 53529600.

The previous prime is 137412337. The next prime is 137412383. The reversal of 137412352 is 253214731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 137412352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16227 + ... + 23197.

It is an arithmetic number, because the mean of its divisors is an integer number (4750256).

Almost surely, 2^137412352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171009216).

137412352 is an abundant number, since it is smaller than the sum of its proper divisors (204606080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137412352 is an equidigital number, since it uses as much as digits as its factorization.

137412352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 6991 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 137412352 is about 11722.3014805114. The cubic root of 137412352 is about 516.0303649779.

The spelling of 137412352 in words is "one hundred thirty-seven million, four hundred twelve thousand, three hundred fifty-two".